Solve for P a=P+Prt

$a = P + P r t$

Step 1

Rewrite the equation as $P + P r t = a$ .

$P + P r t = a$

Step 2

Factor $P$ out of $P + P r t$ .

Factor $P$ out of $P^{1}$ .

$P \cdot 1 + P r t = a$

Factor $P$ out of $P r t$ .

$P \cdot 1 + P (r t) = a$

Factor $P$ out of $P \cdot 1 + P (r t)$ .

$P (1 + r t) = a$

Step 3

Divide each term in $P (1 + r t) = a$ by $1 + r t$ and simplify.

Divide each term in $P (1 + r t) = a$ by $1 + r t$ .

$\frac{P (1 + r t)}{1 + r t} = \frac{a}{1 + r t}$

Simplify the left side.

Cancel the common factor of $1 + r t$ .

Cancel the common factor.

$\frac{P (1 + r t)}{1 + r t} = \frac{a}{1 + r t}$

Divide $P$ by $1$ .

$P = \frac{a}{1 + r t}$